Question

Xochitl was comparing the price of apple juice at two stores. y=2.1x represents what Xochitl would pay in dollars and cents, y, for x bottles of apple juice at store B. Xochitl can buy 3 bottles of apple juice at Store A for a total cost of $7.41.
How much less is a bottle of apple juice at Store B than at Store A?

Answer 1

To find out how much less a bottle of apple juice is at Store B compared to Store A, we first need to determine the price per bottle at both stores.

**Step 1: Calculate the price per bottle at Store A**
Xochitl buys 3 bottles of apple juice for a total cost of $7.41.

Price per bottle at Store A:
\[
\text{Price per bottle at Store A} = \frac{Total\:cost}{Number\:of\:bottles} = \frac{7.41}{3} \approx 2.47
\]

**Step 2: Determine the price per bottle at Store B**
The equation provided for Store B is \( y = 2.1x \). To find the price per bottle, we need to calculate \( y \) when \( x = 1 \) (for 1 bottle).

Price per bottle at Store B:
\[
y = 2.1 \cdot 1 = 2.1
\]

**Step 3: Compare the prices of both stores**
Now we have:
- Price per bottle at Store A: $2.47
- Price per bottle at Store B: $2.10

**Step 4: Calculate the difference in price**
To find how much less a bottle at Store B is compared to Store A:
\[
\text{Difference} = \text{Price at Store A} - \text{Price at Store B} = 2.47 - 2.10 = 0.37
\]

Thus, a bottle of apple juice at Store B is $0.37 less than at Store A.